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32122100144440 = 23534914629157291
BaseRepresentation
bin1110100110111000000100…
…10111100101100100111000
311012201211202101111121112001
413103130002113211210320
513202242030114110230
6152152404502030344
76523513405114615
oct723340227454470
9135654671447461
1032122100144440
11a2649a7123619
12372958a4183b4
1314c0140cc94a7
147d0a0a06950c
153aa8823020ca
hex1d37025e5938

32122100144440 has 64 divisors (see below), whose sum is σ = 72487231740000. Its totient is φ = 12811066652160.

The previous prime is 32122100144417. The next prime is 32122100144447. The reversal of 32122100144440 is 4444100122123.

It is a junction number, because it is equal to n+sod(n) for n = 32122100144399 and 32122100144408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32122100144447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204142195 + ... + 204299485.

Almost surely, 232122100144440 is an apocalyptic number.

It is an amenable number.

32122100144440 is an abundant number, since it is smaller than the sum of its proper divisors (40365131595560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32122100144440 is a wasteful number, since it uses less digits than its factorization.

32122100144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172280 (or 172276 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 32122100144440 its reverse (4444100122123), we get a palindrome (36566200266563).

The spelling of 32122100144440 in words is "thirty-two trillion, one hundred twenty-two billion, one hundred million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 349 698 1396 1745 2792 3490 6980 13960 14629 29258 58516 73145 117032 146290 157291 292580 314582 585160 629164 786455 1258328 1572910 3145820 5105521 6291640 10211042 20422084 25527605 40844168 51055210 54894559 102110420 109789118 204220840 219578236 274472795 439156472 548945590 1097891180 2195782360 2301010039 4602020078 9204040156 11505050195 18408080312 23010100390 46020200780 92040401560 803052503611 1606105007222 3212210014444 4015262518055 6424420028888 8030525036110 16061050072220 32122100144440